LAUSR

The optimal control problem of the random-jump structure of an object under counteraction conditions is considered. The counteracting parties observe any changes in the object’s structure using special indicators that operate with errors. The optimality criterion of the controls is a certain functional of the object’s state. One of the opponents seeks to minimize this criterion, whereas the other seeks to maximize. The players control the object’s structure in the class of pure strategies by applying a finite number of admissible strategies. The optimal controls are found in the class of deterministic dependences on the results of observations preceding the current time instant. As an illustrative example, the optimal control of the object’s structure with two states is obtained using the design methods of the theory of systems with a random jump structure (RJS) in the game-theoretic formulation.